On k-Jacobsthal and k-Jacobsthal-Lucas hybrid numbers

KILIÇ N.

JOURNAL OF DISCRETE MATHEMATICAL SCIENCES & CRYPTOGRAPHY, cilt.24, sa.4, ss.1063-1074, 2021 (ESCI) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 24 Sayı: 4
  • Basım Tarihi: 2021
  • Doi Numarası: 10.1080/09720529.2021.1873253
  • Dergi Adı: JOURNAL OF DISCRETE MATHEMATICAL SCIENCES & CRYPTOGRAPHY
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus, Academic Search Premier, Aerospace Database, Communication Abstracts, INSPEC, Metadex, zbMATH, Civil Engineering Abstracts
  • Sayfa Sayıları: ss.1063-1074
  • İstanbul Üniversitesi Adresli: Hayır

Özet

In this paper, we consider the k-Jacobsthal and k-Jacobsthal-Lucas hybrid numbers. We obtain the Binet formulas, generating functions, exponential generating functions and summation formulas of k-Jacobsthal and k-Jacobsthal-Lucas hybrid numbers. Also, we give Catalan, Cassini and d'Ocagne identities of these hybrid numbers. Finally, we introduce the matrix generators for k-Jacobsthal and k-Jacobsthal-Lucas hybrid numbers.